// Numbas version: exam_results_page_options {"name": "Math 3 Write expansion as a single logarithm Variable Sum", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Math 3 Write expansion as a single logarithm Variable Sum", "ungrouped_variables": ["base", "variables", "var1", "var2", "exp1", "exp2"], "functions": {}, "preamble": {"js": "", "css": ""}, "variables": {"var1": {"group": "Ungrouped variables", "name": "var1", "description": "", "definition": "random(variables)", "templateType": "anything"}, "base": {"group": "Ungrouped variables", "name": "base", "description": "", "definition": "random(2..9)", "templateType": "anything"}, "var2": {"group": "Ungrouped variables", "name": "var2", "description": "", "definition": "random(variables except var1)", "templateType": "anything"}, "exp2": {"group": "Ungrouped variables", "name": "exp2", "description": "", "definition": "random(2..20)", "templateType": "anything"}, "exp1": {"group": "Ungrouped variables", "name": "exp1", "description": "", "definition": "random(2..20)", "templateType": "anything"}, "variables": {"group": "Ungrouped variables", "name": "variables", "description": "", "definition": "[\"x\",\"y\",\"z\",\"a\",\"b\",\"c\",\"k\",\"m\",\"n\",\"p\",\"q\"]", "templateType": "anything"}}, "parts": [{"scripts": {}, "displayAnswer": "log_{base}({var1}^{exp1}{var2}^{exp2})", "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "answer": "log_{base}({var1}^{exp1}{var2}^{exp2})", "type": "patternmatch", "partialCredit": "75", "showCorrectAnswer": true, "customName": "", "showFeedbackIcon": true, "adaptiveMarkingPenalty": 0, "matchMode": "exact", "variableReplacements": [], "useCustomName": false, "unitTests": [], "marks": 1, "extendBaseMarkingAlgorithm": true, "caseSensitive": true}], "variablesTest": {"maxRuns": 100, "condition": ""}, "rulesets": {}, "extensions": [], "tags": [], "variable_groups": [], "advice": "", "metadata": {"licence": "All rights reserved", "description": ""}, "statement": "

Write the logarithm as a single logarithm.

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Given:  $ \\var{exp1}\\log_\\var{base}( \\var{var1} ) + \\var{exp2}\\log_\\var{base}( \\var{var2} )  $

", "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}]}]}], "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}]}